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Finding the Third Proportional to 1,180,455,731 and 2,524,354,477

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Solution

The third proportional to 1,180,455,731 and 2,524,354,477 is: 5,398,224,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,455,731 : 2,524,354,477 = 2,524,354,477 : x
  2. Step 2: Convert to fraction form
    1,180,455,731/2,524,354,477 = 2,524,354,477/x
  3. Step 3: Cross multiply
    1,180,455,731x = 2,524,354,477 × 2,524,354,477
  4. Step 4: Simplify right side
    1,180,455,731x = 6,372,365,525,549,943,808
  5. Step 5: Solve for x
    x = 6,372,365,525,549,943,808/1,180,455,731
  6. Step 6: Final answer
    x = 5,398,224,904.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.